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1
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84927831658
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For recent reviews of spectroscopy from lattice gauge theory see S.R. Sharpe, in CP Violation and the Limits of the Standard Model, Proceedings of the Theoretical Advanced Study Institute, Boulder, Colorado, 1994 (World Scientific, Singapore, 1995);
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2
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84927812085
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D. Weingarten, in Lattice '93, Proceedings of the International Symposium, Dallas, Texas, edited by T. Draper et al. [, ]. Recent high statistics lattice glueball results include, 309, 378, M(0++)=1.55(5) GeV;, Phys. Lett. B
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(1993)
Nucl. Phys. B (Proc. Suppl.)
, vol.34
, pp. 29
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Bali, G.1
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3
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84927831657
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H. Chen et al., in Lattice '93, this reference,M(0++)=1.740(71) GeV and M(2++)=2.359(128) GeV. Two pseudoscalar decay widths are discussed by J. Sexton et al., in Lattice '94, Proceedings of the International Symposium, Bielefeld, Germany, edited by F. Karsch et al. [Nucl. Phys. B (Proc. Suppl.) 42 (1995)].
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6
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84927831655
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see also C. Amsler and F.E. Close, ``Evidence for Glueballs," Rutherford Laboratory and CERN Report No. CCL TR 95 003, 1995 (unpublished).
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9
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0001885730
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The reaction γp → pπ+π−π+π− for photon energies from 25 to 70 GeV
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the same state may have been seen earlier by
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(1981)
Nuclear Physics B
, vol.189 B
, pp. 15
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Aston, D.1
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14
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84927831653
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CDF Collaboration, M. Mangano, in Proceedings of the XXIX Rencontres de Moriond, Méribel (unpublished);in Proceedings of the 27th International Conference on High Energy Physics [2].
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20
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84927831652
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J. Merlin, Ph.D. thesis, Oxford University;J. Paton (personal communication).
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24
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84927831651
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T. Barnes, Ph.D. thesis, Caltech, 1977;
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40
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84927831649
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F.E. Close, ibid.;
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45
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84927831645
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S. Godfrey, in Glueballs, Hybrids, and Exotic Hadrons, edited by S. U. Chung, AIP Conf. Proc. No. 185 (AIP, New York, 1989);
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54
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84927831643
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S. Narison, QCD Spectral Sum Rules, Lecture Notes in Physics Vol. 26 (World Scientific, Singapore, 1989), p. 375.
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67
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46149141436
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Since we calculate only energies in this flux tube simulation, we can reduce statistical errors by using only the ``diagonal weight," as discussed in, Ref. 34
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(1986)
Nucl. Phys.
, vol.265 B
, Issue.15
, pp. 253
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Barnes, T.1
Daniell, G.J.2
Storey, D.3
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69
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84927831642
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N. Isgur (personal communication). We have also carried out Monte Carlo simulations of the case +αssup ft /6r to test the sensitivity of our results for the hybrid masses to the Coulomb potential assumed. We find that, despite the centrifugal barrier, the hybrid masses are rather sensitive to the Coulomb term, and the first two (sub 1P and sub 1D) hybrid levels increase from (1.90 GeV, 2.30 GeV) to (2.26 GeV, 2.60 GeV) for light quarks and from (4.21 GeV, 4.48 GeV) to (4.60 GeV, 4.71 GeV) for c bar c. Since we believe that the large values of αssup ft required in the model to fit quarkonium spectroscopy are actually compensating for the slow onset of linear confinement in the N=1 potential evident in E0(R) in Fig. 1, these increases are presumably overestimates by about a factor of αssup ft / αs approx 2; so our best estimates of the sub 1P hybrid masses with +αs / 6r are approx 2.1 GeV and approx 4.4 GeV for q bar q and c bar c hybrids, respectively. If the hybrids are found at these higher masses, the possibility of a repulsive Coulomb interaction should be investigated in more detail.
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70
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4243827703
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In a nonrelativistic Coulomb plus linear potential model with αs=0.6, a=0.9 GeV/fm, mq=0.33 GeV, and again using the spin averaged M(ρ,π) =0.63 GeV to fix V0=-0.82 GeV, we find M(D)=1.66 GeV and M(D')=2.31 GeV, and a node in the D' wave function at R0 = 1.47 fm., quote a much lower sup 1D2' mass of 2.13 GeV. The string tension of a=1.0 GeV/fm we used as our standard value in the flux tube model may be too large (0.9 GeV/fm is more conventional), and the radial excitations are more sensitive to this difference than the other q bar q states, which we found to be in good agreement with experiment given 1.0 GeV/fm. If we reduce the string tension in the N=1 flux tube model to the rather low value of 0.8 GeV/fm, we find a mass of M(D') = 2.1 GeV, similar to Godfrey and Isgur. However the D wave mass is then unacceptably low, M(D) = 1.54 GeV. The actual D' 2-+ q bar q state is presumably near 2.2 GeV, with an uncertainty of at most about 0.1 GeV.
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(1985)
Phys. Rev. D
, vol.32
, pp. 189
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Godfrey, S.1
Isgur, N.2
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71
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84927831641
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In a fixed N flux tube model with a conventional string tension of a approx 1 GeV/fm, and with bead masses comparable to light constituent quark masses, one must keep N relatively small; otherwise the large amplitude configurations of the flux tube in its ground state are complicated proteinlike jumbles rather than a linear string, and this jumbled flux tube has a small excitation energy. To test the sensitivity of our results to moderate increases in N we carried out Monte Carlo simulations of light quark systems with N=2 and N=3, and found that the energies are actually rather similar to N=1. We again used spin averaged values of M(P)=1.25 GeV and M(S)=0.63 GeV as input to determine αs and V0. (As before we used a=1.0 GeV/fm and mb=0.2 GeV, and these simulations used magnetic quantum number M=0.) Both N=2 and N=3 required a very large αsft approx 1.7 to compensate for the shallow small r confining potential. The predictions for the D(q bar q), sub 1P(hybrid), and F(q bar q) masses were 1.65, 1.70, and 1.99 GeV for N=2 and 1.60, 1.65, and 1.91 GeV for N=3, with statistical errors of about pm 0.02 GeV. A deterioration in the q bar q spectrum due to the slower onset of linear confinement in the larger N string is clearly evident by N=3, which underestimates the L=3 mass by approx 130 MeV. There is a decrease in the first hybrid mass in both the N=2 and N=3 models relative to N=1; it is predicted to be about 50 MeV above the q bar q D wave states.
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72
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F.E. Close, in Proceedings of the Third Workshop on the Tau Charm Factory [24],p. 73; T. Barnes, ibid., p. 41.
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